{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 聚类算法实践\n",
    "- Kmeans与Dbscan算法\n",
    "- 半监督问题解决方案\n",
    "- 聚类评估方法"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![title](./img/c1.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import os\n",
    "%matplotlib inline\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "plt.rcParams['axes.labelsize'] = 14\n",
    "plt.rcParams['xtick.labelsize'] = 12\n",
    "plt.rcParams['ytick.labelsize'] = 12\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "np.random.seed(42)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Kmeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "\n",
    "blob_centers = np.array([[0.2, 2.3], [-1.5, 2.3], [-2.8, 1.8], [-2.8, 2.8],\n",
    "                         [-2.8, 1.3]])\n",
    "\n",
    "blob_std = np.array([0.4, 0.3, 0.1, 0.1, 0.1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "X, y = make_blobs(n_samples=2000,\n",
    "                  centers=blob_centers,\n",
    "                  cluster_std=blob_std,\n",
    "                  random_state=7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_clusters(X, y=None):\n",
    "    plt.scatter(X[:, 0], X[:, 1], c=y, s=1)\n",
    "    plt.xlabel(\"$x_1$\", fontsize=14)\n",
    "    plt.ylabel(\"$x_2$\", fontsize=14, rotation=0)\n",
    "\n",
    "\n",
    "plt.figure(figsize=(8, 4))\n",
    "plot_clusters(X)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 决策边界"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "k = 5\n",
    "kmeans = KMeans(n_clusters=k, random_state=42)\n",
    "y_pred = kmeans.fit_predict(X)\n",
    "# fit_predict(X)与kmeans.labels_ 得到预测结果是一致的"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([4, 0, 1, ..., 2, 1, 0])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([4, 0, 1, ..., 2, 1, 0])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-2.80389616,  1.80117999],\n",
       "       [ 0.20876306,  2.25551336],\n",
       "       [-2.79290307,  2.79641063],\n",
       "       [-1.46679593,  2.28585348],\n",
       "       [-2.80037642,  1.30082566]])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.cluster_centers_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 1, 2, 2])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_new = np.array([[0, 2], [3, 2], [-3, 3], [-3, 2.5]])\n",
    "kmeans.predict(X_new)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[2.81093633, 0.32995317, 2.9042344 , 1.49439034, 2.88633901],\n",
       "       [5.80730058, 2.80290755, 5.84739223, 4.4759332 , 5.84236351],\n",
       "       [1.21475352, 3.29399768, 0.29040966, 1.69136631, 1.71086031],\n",
       "       [0.72581411, 3.21806371, 0.36159148, 1.54808703, 1.21567622]])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.transform(X_new)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_data(X):\n",
    "    plt.plot(X[:, 0], X[:, 1], 'k.', markersize=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_centroids(centroids, weights=None, circle_color='w', cross_color='k'):\n",
    "    if weights is not None:\n",
    "        centroids = centroids[weights > weights.max() / 10]\n",
    "    plt.scatter(centroids[:, 0],\n",
    "                centroids[:, 1],\n",
    "                marker='o',\n",
    "                s=30,\n",
    "                linewidths=8,\n",
    "                color=circle_color,\n",
    "                zorder=10,\n",
    "                alpha=0.9)\n",
    "    plt.scatter(centroids[:, 0],\n",
    "                centroids[:, 1],\n",
    "                marker='x',\n",
    "                s=50,\n",
    "                linewidths=50,\n",
    "                color=cross_color,\n",
    "                zorder=11,\n",
    "                alpha=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_decision_boundaries(clusterer,\n",
    "                             X,\n",
    "                             resolution=1000,\n",
    "                             show_centroids=True,\n",
    "                             show_xlabels=True,\n",
    "                             show_ylabels=True):\n",
    "    mins = X.min(axis=0) - 0.1\n",
    "    maxs = X.max(axis=0) + 0.1\n",
    "    #     print(X.max(axis=0))\n",
    "    #     print(X.min(axis=0))\n",
    "    xx, yy = np.meshgrid(np.linspace(mins[0], maxs[0], resolution),\n",
    "                         np.linspace(mins[1], maxs[1], resolution))\n",
    "    Z = clusterer.predict(np.c_[xx.ravel(), yy.ravel()])\n",
    "    Z = Z.reshape(xx.shape)\n",
    "\n",
    "    plt.contourf(Z, extent=(mins[0], maxs[0], mins[1], maxs[1]), cmap='Pastel2')\n",
    "    plt.contour(Z,\n",
    "                extent=(mins[0], maxs[0], mins[1], maxs[1]),\n",
    "                linewidths=1,\n",
    "                colors='k')\n",
    "    plot_data(X)\n",
    "\n",
    "    if show_centroids:\n",
    "        plot_centroids(clusterer.cluster_centers_)\n",
    "    if show_xlabels:\n",
    "        plt.xlabel('$x_1$', fontsize=14)\n",
    "    else:\n",
    "        plt.tick_params(labelbottom='off')\n",
    "    if show_ylabels:\n",
    "        plt.ylabel('$x_2$', fontsize=14)\n",
    "    else:\n",
    "        plt.tick_params(labelleft='off')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.34442688 3.19903802]\n",
      "[-3.15343627  0.95843384]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plot_decision_boundaries(kmeans, X)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(algorithm='auto', copy_x=True, init='random', max_iter=5, n_clusters=5,\n",
       "       n_init=1, n_jobs=None, precompute_distances='auto', random_state=1,\n",
       "       tol=0.0001, verbose=0)"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans_iter1 = KMeans(n_clusters=5,\n",
    "                      init='random',\n",
    "                      n_init=1,\n",
    "                      max_iter=1,\n",
    "                      random_state=1)\n",
    "kmeans_iter2 = KMeans(n_clusters=5,\n",
    "                      init='random',\n",
    "                      n_init=1,\n",
    "                      max_iter=2,\n",
    "                      random_state=1)\n",
    "kmeans_iter3 = KMeans(n_clusters=5,\n",
    "                      init='random',\n",
    "                      n_init=1,\n",
    "                      max_iter=3,\n",
    "                      random_state=1)\n",
    "kmeans_iter4 = KMeans(n_clusters=5,\n",
    "                      init='random',\n",
    "                      n_init=1,\n",
    "                      max_iter=4,\n",
    "                      random_state=1)\n",
    "kmeans_iter5 = KMeans(n_clusters=5,\n",
    "                      init='random',\n",
    "                      n_init=1,\n",
    "                      max_iter=5,\n",
    "                      random_state=1)\n",
    "\n",
    "kmeans_iter1.fit(X)\n",
    "kmeans_iter2.fit(X)\n",
    "kmeans_iter3.fit(X)\n",
    "kmeans_iter4.fit(X)\n",
    "kmeans_iter5.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 10 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12, 12))\n",
    "\n",
    "plt.subplot(521)\n",
    "plot_data(X)\n",
    "plot_centroids(kmeans_iter1.cluster_centers_, circle_color='r', cross_color='k')\n",
    "plt.title('Update cluster_centers')\n",
    "\n",
    "plt.subplot(522)\n",
    "plot_data(X)\n",
    "plot_decision_boundaries(kmeans_iter1, X)\n",
    "plt.title('Label')\n",
    "\n",
    "plt.subplot(523)\n",
    "plot_data(X)\n",
    "plot_decision_boundaries(kmeans_iter1, X)\n",
    "plot_centroids(kmeans_iter2.cluster_centers_, circle_color='r', cross_color='k')\n",
    "\n",
    "plt.subplot(524)\n",
    "plot_data(X)\n",
    "plot_decision_boundaries(kmeans_iter2, X)\n",
    "\n",
    "plt.subplot(525)\n",
    "plot_data(X)\n",
    "plot_decision_boundaries(kmeans_iter2, X)\n",
    "plot_centroids(kmeans_iter3.cluster_centers_, circle_color='r', cross_color='k')\n",
    "\n",
    "plt.subplot(526)\n",
    "plot_data(X)\n",
    "plot_decision_boundaries(kmeans_iter3, X)\n",
    "\n",
    "plt.subplot(527)\n",
    "plot_data(X)\n",
    "plot_decision_boundaries(kmeans_iter3, X)\n",
    "plot_centroids(kmeans_iter4.cluster_centers_, circle_color='r', cross_color='k')\n",
    "\n",
    "plt.subplot(528)\n",
    "plot_data(X)\n",
    "plot_decision_boundaries(kmeans_iter4, X)\n",
    "\n",
    "plt.subplot(529)\n",
    "plot_data(X)\n",
    "plot_decision_boundaries(kmeans_iter4, X)\n",
    "plot_centroids(kmeans_iter5.cluster_centers_, circle_color='r', cross_color='k')\n",
    "\n",
    "plt.subplot(5, 2, 10)\n",
    "plot_data(X)\n",
    "plot_decision_boundaries(kmeans_iter5, X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 不稳定的结果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_clusterer_comparison(c1, c2, X):\n",
    "    c1.fit(X)\n",
    "    c2.fit(X)\n",
    "\n",
    "    plt.figure(figsize=(12, 4))\n",
    "    plt.subplot(121)\n",
    "    plot_decision_boundaries(c1, X)\n",
    "    plt.subplot(122)\n",
    "    plot_decision_boundaries(c2, X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "c1 = KMeans(n_clusters=5, init='random', n_init=1, random_state=11)\n",
    "c2 = KMeans(n_clusters=5, init='random', n_init=1, random_state=12)\n",
    "plot_clusterer_comparison(c1, c2, X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 评估方法\n",
    "- Inertia指标：每个样本与其质心的距离"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "211.5985372581684"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.inertia_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "# transform得到的是当前样本到每个簇中心距离\n",
    "X_dist = kmeans.transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.46779778, 3.04611916, 1.45402521, 1.54944305, 0.11146795],\n",
       "       [0.07122059, 3.11541584, 0.99002955, 1.48612753, 0.51431557],\n",
       "       [3.81713488, 1.32016676, 4.09069201, 2.67154781, 3.76340605],\n",
       "       ...,\n",
       "       [0.92830156, 3.04886464, 0.06769209, 1.40795651, 1.42865797],\n",
       "       [3.10300136, 0.14895409, 3.05913478, 1.71125   , 3.23385668],\n",
       "       [0.22700281, 2.8625311 , 0.85434589, 1.21678483, 0.67518173]])"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_dist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2000,)"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.labels_.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2000"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(X_dist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.11146795, 0.07122059, 1.32016676, ..., 0.06769209, 0.14895409,\n",
       "       0.22700281])"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "min_dist = X_dist[np.arange(len(X_dist)), kmeans.labels_]\n",
    "min_dist"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "211.59853725816856"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sum(min_dist**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-211.59853725816856"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.score(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "223.2910857281904"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c1.inertia_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "211.5985372581684"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c2.inertia_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "### 找到最佳簇数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 如果k值越大，得到的结果肯定会越来越小！！！"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "kmeans_per_k = [KMeans(n_clusters=k).fit(X) for k in range(1, 10)]\n",
    "inertias = [model.inertia_ for model in kmean_per_k]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 9, 0, 1300]"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.plot(range(1, 10), inertias, 'bo-')\n",
    "plt.axis([1, 9, 0, 1300])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 轮廓系数\n",
    "\n",
    "- $ai$: 计算样本i到同簇其他样本的平均距离ai。ai 越小，说明样本i越应该被聚类到该簇。将ai 称为样本i的簇内不相似度。\n",
    "- $bi$: 计算样本i到其他某簇Cj 的所有样本的平均距离bij，称为样本i与簇Cj 的不相似度。定义为样本i的簇间不相似度：bi =min{bi1, bi2, ..., bik}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![title](./img/c3.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "结论：\n",
    "- si接近1，则说明样本i聚类合理；\n",
    "\n",
    "- si接近-1，则说明样本i更应该分类到另外的簇；\n",
    "\n",
    "- 若si 近似为0，则说明样本i在两个簇的边界上。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.655517642572828"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.metrics import silhouette_score\n",
    "silhouette_score(X, kmeans.labels_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [],
   "source": [
    "silhouette_scores = [\n",
    "    silhouette_score(X, model.labels_) for model in kmeans_per_k[1:]\n",
    "]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0.5966442557582528,\n",
       " 0.5723900247411775,\n",
       " 0.688531617595759,\n",
       " 0.655517642572828,\n",
       " 0.6021101618281359,\n",
       " 0.6070979466596362,\n",
       " 0.561138795623175,\n",
       " 0.5667631147874026]"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "silhouette_scores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1d6010f6c48>]"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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yPe67gfVAW6AUuMfM9qrdyMzaAJOBe4HWQBfgxVptGgF3Ae9se9iSK15+GVau1DB5VHr3htGj4e9/D0lcRHLfFhO3mTUHTgNGuXulu08FJgJDEjS/DHjB3cvcfZ27r3T3mbXa/IaQzD+pZ+ySA2IxaNkS+vWLOpLCdfnlcMghoara3LlRRyMi9ZVMj7sbUOXus+KOvQ9s0uMGDgSWmtk0M1tkZs+YWYeaF82sI3AuMLo+QUtu+P57mDABTjoJGjeOOprC1bBhqGHurqpqIvkgmcTdAlhe69hyYPsEbdsBQ4GLgQ7AHOCxuNf/RHXPfUsnNbNhZlZhZhWLFy9OIkzJNm+8Ebaa1DB59Dp1Cvt2v/EG3HZb1NGISH0kk7grgZa1jrUEViZouwYY7+7T3X0tcAPQx8x2MLOTgO3d/YlkAnP3se5e4u4lxcXFyfyIZJlYLEyQOu64qCMRCL3t006Da65RVTWRXJZM4p4FFJlZ17hjPYEZCdp+AMTPXa352oB+QImZLTCzBcAZwCVmNmHrw5Zst2EDjB8Pxx8PzZpFHY1AqKp2772hqtrgwaqqJpKrtpi43X0VEANGm1lzMzsYGAAk2vn3QWCgmfWqnj0+Cpjq7suqv+4G9Kp+TATuA85JyZVIVnnnHfj6aw2TZ5vWreHBB+Hjj+Gqq6KORkS2RbLLwUYATYFFhHvWw919hpkdamb/d7/a3V8FrgYmVbftAgyqfm2luy+oeRCG1Ve5u0pD5KFYDBo1gv79o45Eajv22DDD/K67VFVNJBeZ50BVhpKSEq+oqIg6DEmSO3TpAt27w3PPRR2NJLJ6NfzkJ7BiBXz4IbRqFXVEIhLPzN5195JEr6nkqaTc++/D7NkaJs9mzZpBWVmoqjZ8uKqqieQSJW5JuVgs7AI2YEDUkcjm9O4NN9wATz4ZkriI5AYlbkm58nI47LCwsYhktyuugIMPhgsuUFU1kVyhxC0p9cknYcayhslzQ3xVtaFDVVVNJBcocUtKjR8fngcOjDYOSd6PfhT27Z4yBW6/PepoRGRLlLglpcrL4YADoF27qCORrTF0aBglGTkyTC4UkeylxC0pM3cuvPuuhslzUU1VtdatobQU1q6NOiIRqYsSt6RMzTC5EnduatMmVFWbMQOuvjrqaESkLkrckjLl5fDjH4fiK5KbjjsuzDC/4w54+eWooxGRRJS4JSUWLIC33gq7T0luu/lm2GMPOPtsWKqCxCJZR4lbUmLChLCkSMPkua9ZM3jkEVi4EEaMUFU1kWyjxC0pUV4OXbvCXntFHYmkwk9+AtdfD088AY8+GnU0IhJPiVvqbelSeO21MExuFnU0kipXXAF9+oR73vPmRR2NiNRQ4pZ6e/ZZ+P57DZPnm6KiUFWtqiqs896wIeqIRASUuCUFysuhfXsoSbgBneSyzp1DVbXXX1dVNZFsocQt9VJZCS+8EHrbGibPT2efHUrYjhwJH3wQdTQiosQt9fLcc7BunYbJ85kZjB0LrVqpqppINlDilnqJxWDnncPWkJK/2rSBBx6Ajz4KPW8RiY4St2yztWth0iQ45ZSwPaTkt+OPD+u6b78dXn016mhECpcSt2yzl14K97g1TF44brkFuncPs8y//TbqaEQKkxK3bLNYDHbYAfr2jToSyZSaqmoLFoTet4hkXlKJ28xamdl4M1tlZnPNbNBm2vY2szfMrNLMFprZxdXHdzazx8zsazNbbmZvmdkBqboQyazvvoOJE+Hkk6Fx46ijkUwqKYHrroPHH1dVNZEoJNvjvhtYD7QFSoF7zGyT4pZm1gaYDNwLtAa6AC9Wv9wCmA78BGgFPARMMrMW9bkAicaUKaFimobJC9OVV8JBB4Vet6qqiWTWFhO3mTUHTgNGuXulu08FJgJDEjS/DHjB3cvcfZ27r3T3mQDuPtvdb3f3b9y9yt3HAo2B7qm7HMmUWCwMmx5zTNSRSBTiq6qdfbaqqolkUjI97m5AlbvPijv2PpBoO4kDgaVmNs3MFpnZM2bWIdGbmlkvQuL+bGuDlmht2ADjx8MJJ4TkLYVp993hzjtDnfo77og6GpHCkUzibgEsr3VsObB9grbtgKHAxUAHYA7wWO1GZtYSGAfc4O6137umzTAzqzCzisWLFycRpmTK22+HyUkaJpdzzw3LAa++WlXVRDIlmcRdCbSsdawlsDJB2zXAeHef7u5rgRuAPma2Q00DM2sKPAP8w93/WNdJ3X2su5e4e0lxcXESYUqmxGJhQtqJJ0YdiUStpqraTjvB4MGqqiaSCckk7llAkZl1jTvWE5iRoO0HgMd9X/O1AZhZE+BpYD7wq62OViLnHhL30UdDy9of56QgFReHqmoffgjXXBN1NCL5b4uJ291XATFgtJk1N7ODgQGEoe7aHgQGmlkvM2sEjAKmuvuy6u+fIvTKz3J3TWfJQe+9B198oWFy2dgJJ8Dw4aGq2muvRR2NSH5LdjnYCKApsIhwz3q4u88ws0PNrLKmkbu/ClwNTKpu2wWoWfPdB+gPHAMsq17nXWlmh6bmUiQTYrFQ3vTkk6OORLLNrbdC166hqtqyZVFHI5K/zN233CpiJSUlXlFREXUYAvToAbvuCq+8EnUkko2mT4c+feBnP4OysqijEcldZvauu5ckek0lTyVpM2fCJ59omFzqtt9+cO21oaLa449HHY1IflLilqTFYuF54MBo45DsdtVVcOCB4Z73l19GHY1I/lHilqSVl4cyl7vuGnUkks2KisJGJN99F+53q6qaSGopcUtS5swJM8o1TC7JiK+qduedUUcjkl+UuCUp48eHZyVuSdZ558GAAWHo/MMPo45GJH8ocUtSysuhVy/o3DnqSCRXmMF994WqaqWlsG5d1BGJ5Aclbtmib76BadPU25atV1wM99+vqmoiqaTELVv09NPh+bTToo1DctOJJ8L558Ntt8Hrr0cdjUjuU+KWLSovh+7dQ/EVkW1x663QpQucdZaqqonUlxK3bNZ//hN6SaeeGu5ZimyL5s3DErGvv4YLL4w6GpHcpsQtm/XMM1BVpWFyqb/99w9V1crK4Iknoo5GJHcpcctmlZdDx47Qu3fUkUg+uPrqUFXt/PPhq6+ijiYaZWXQqRM0aBCeVdNdtpYSt9Rp5Up48UUNk0vqFBXBuHGhqtrZZxdeVbWyMhg2DObODXvbz50bvlfylq1RFHUAkr0mTYL167UMTFKrSxe4446QsP70J7jkkqgjSr21a8O+9bNnw+efh+fZs+H558OHlnirV8PIkWGtu0gylLilTrEYtG0b6pOLpNIvfgHPPgtXXglHHQV77x11RFvHHRYt+iEh107Q8+dv3L5Zs1C8qHbSrjFvXvpjlvyhxC0JrVkDzz0HQ4ZAw4ZRRyP5pqaq2j77hJ7mP/8JTZpEHdXG4nvNiR6rVm3cfrfdQnI+6qjwvPvu4blzZ9h553DNnTqF4fHaOnTIxBVJvlDiloRefDH8YdIwuaTLzjvDAw9A//4wahTcfHNmz+8Oixcn7jHX9Jrdf2hf02vu3Bn69fvh686dQ0Ju2nTL5xwzJtwiWL164+PaKle2hnn8v8wsVVJS4hUVFVGHUVCGDg1LwRYuhEaNoo5G8tn558PYsWEnscMPT+17r1u3aa85PkHX7jXvuuumveWaR9u2qZmkWVYW7mnPmwft2oUJe4sXw9tv594tA0kfM3vX3UsSvqbELbV9913oDQ0YAH/7W9TRSL5btQr23TcU+2nePCwT69Ah9E63NGHLHZYs2bS3XJOga/eamzbdOBnHJ+hke82pNn8+lJSEHv306dCqVeZjkOyzucStoXLZxGuvhbKUGiaXTGjeHAYPhuuug6VLw7GaZVIAp58evk80nD17NlRWbvx+Nb3mI4/cNEGnqtecSrvtFiaCHnEEnHFGmHlepL/Mshnqccsmzj8/lKdcvDiaHogUnrombTVsGNZ6x/+Z2m67uoezO3UKPddc9OCDcO65YXncHXdEHY1Erd49bjNrBdwPHAMsAa5y90fraNsbuBPoDawC/svd76p+rRPwIHAAMA+40N1f3pqLkfSqqgq7gZ14opK2ZE5dy6GqquD66zdOzrvskn295lQ45xx4/324807o2TMUqBFJJNkBmbuB9UBboBcwyczed/cZ8Y3MrA0wGbgUeApoDLSLa/IY8DZwQvXjKTPr6u6L63UVkjLTpoUJaRoml0zq0CFxj7tjxzCEXihuvTXsXf6rX4Xd+A44IOqIJBttseSpmTUHTgNGuXulu08FJgJDEjS/DHjB3cvcfZ27r3T3mdXv043QC7/O3de4eznwYfV7S5aIxcJ62hNOiDoSKSRjxmw6xN2sWTheSIqK4Mknw33vgQPDbmoitSVTq7wbUOXus+KOvQ/slaDtgcBSM5tmZovM7BkzqyktsBcw291XJvE+EgH3kLiPOQa23z7qaKSQlJaGJWEdO4Zh8I4dw/eFWAa0dWuYMAFWrAgjX2vXRh2RZJtkEncLYHmtY8uBRH/a2wFDgYuBDsAcwvD41r4PZjbMzCrMrGLxYo2kZ8K774Z7jRomlyiUloY11xs2hOdCTNo19tkHHn4Y3nknTBbNgTnEkkHJJO5KoGWtYy2BlQnargHGu/t0d18L3AD0MbMdtvJ9cPex7l7i7iXFxcVJhCn1FYuFWbwnnRR1JCJy6qnh/v5DD4XNWERqJJO4ZwFFZtY17lhPYEaCth8A8Z8Na7626vadzSy+h13X+6SF9sGtm3vYe7tv3zBUJyLRu/ZaOOUU+M1v4GWtv5FqW0zc7r4KiAGjzay5mR0MDADGJWj+IDDQzHqZWSNgFDDV3ZdV3yP/X+A6M9vOzAYCPwbKU3Uxm6N9cDfv449h1iwNk4tkkwYNwpD5HnvAz34WCtCIJNPjBhgBNAUWEe5ZD3f3GWZ2qJn9X90id38VuBqYVN22CzAo7n3OBEqAb4EbgdMztRRs5MhNC/vX7IMrYZjcLHy6F5Hssf32MHFi+P0cMABWJry5KIWkYCqnNWiQeIKHWZgMU+h69YIWLWDq1KgjEZFEXnkFjj02zEEpLw9/0yR/ba5yWsH8r69rv9uGDZWsPv88VGzSMLlI9urXD267LVQ2HD066mgkSgWTuBMVeGjSBHbcEQ49FC68sHCHoMaPD89K3CLZ7de/DqVQb7gh3N6SwlQwiTtRgYf774c5c+Dii+Gvfw174U6eHHWkmVdeDr17h5n2IpK9zOCee0Ip1LPOCuVRpfAUTOKGxAUeWrQIRf3feitsL3j88TB0aNgbuBDMnw//+Id62yK5YrvtQm+7ZcswWa1Q/lbJDwoqcW/OQQfBe+/BqFHw6KOw557w97/nf8Wip58Oz6epYrxIzth113CLa/78sEzsu++ijkgySYk7TpMmYdJHRQW0bx9+IU49Fb75JurI0qe8POxCtMceUUciIlvjgAPC7b9XX4Xf/jbqaCSTlLgT6NkzDB/ffHO4592jBzzwQP71vpcsgSlTNEwukquGDoVLLgklUR94IOpoJFOUuOtQVAS/+x188EFI5OedF3bNmj076shSZ+LEcL9fw+QiueuWW+Coo2D4cHj77aijkUxQ4t6Crl3htdfCTM533gm79tx5J1RVRR1Z/ZWXh5nkvXpFHYmIbKuiInjiCWjXLoyezZ8fdUSSbkrcSWjQIGytN2MGHHEEXHopHHJIqO+dq5YvD5sWnHpqWGIiIrmrVaswglZZCQMHag/vfKfEvRXat4dnnw0bk/z737DvvvD738P69VFHtvWeey7ErWFykfyw114wbhxMnx42UMq3OTnyAyXurWQGgwbBzJmht3rttVBSEn5Zckl5OeyyCxx4YNSRiEiqnHJKqKo2bhzccUfU0Ui6KHFvo+JieOwxmDAhFEA48EC4/PJNdyDLRqtXw/PPhyE1bVQgkl+uuSZ0Kn73O3jxxaijkXTQn+16OvnkcK/7F78Iszt79oTXX486qs174YWQvDVMLpJ/GjSAhx4KRaTOOAM++yzqiCTVlLhTYIcd4N57QyEEd+jbN0xmW7486sgSi8XCZJbDDos6EhFJhxYtwmhggwahc7FiRdQRSSopcadQ375h3fdvfgP33Rcmi0yaFHVUG1u/Hp55JvwyN+tRYWMAAA+0SURBVGoUdTQiki6dO4eyzbNmwZAhoWaD5Acl7hRr1gxuvTUUQthpJ+jfP2xmsnhx1JEFr74aRgI0TC6S/448MkxSmzgRrr8+6mgkVZS402T//eHdd8MMz7//Pdxveuyx6JdoxGJhGO2oo6KNQ0Qy48IL4dxzw9LVp56KOhpJBSXuNGrcOCwX+9e/wrDVoEFhiPqrr6KJp6oq7AbWv3/YGlBE8p8Z/PWvYeXL0KHhdp7kNiXuDNh7b5g2DW6/HV55Jdz7Hjs28/ecpk4NQ/baVESksDRpEkbbdtwx7OG9ZEnUEUl9KHFnSMOGoVTqRx+Fgi2/+hX065fZpRqxWOhpH3985s4pItnh//2/sIf3N9/AT3+qPbxzWVKJ28xamdl4M1tlZnPNbFAd7a43s+/MrDLu0Tnu9SPN7F9mtsLMZpvZsFRdSK7o3DnUCL/vvjCEvs8+YTLb99+n97zuIXEfe2y4xy0ihWf//cNo3+uvw2WXRR2NbKtke9x3A+uBtkApcI+Z7VVH2yfcvUXcYzaAmTUCxgP3AjsAZwC3m1nPel1BDjILBVs+/jhsFfq730GfPvDhh+k75/Tp4d66hslFCttZZ4Wk/Ze/wP/8T9TRyLbYYuI2s+bAacAod69096nARGDIVp6rFdASGOfBdGAmsOdWvk/e2G23MFnsiSfgiy+gd2+47jpYty7154rFwvZ/J52U+vcWkdxy002h0zBiRJh/I7klmR53N6DK3WfFHXsfqKvHfZKZLTWzGWY2vOaguy8EHgPOMbOGZnYQ0BGYuo2x5wUz+NnPwqYlZ54Jo0eHBP6Pf6TuHO5hU5Ejjwxry0WksBUVweOPQ8eOYRQuqpUusm2SSdwtgNrFO5cD2ydo+yTQAygGfglca2Y/j3v9MeBaYB3wJjDS3b9MdFIzG2ZmFWZWsThbqpekUevWYUefSZNg5cowdH7ZZbBqVf3f+6OPwiQ4DZOLSI2ddgplUVetChsOrVkTdUSSrGQSdyVhiDteS2Bl7Ybu/rG7f+3uVe4+DbgLOB3AzPYAngDOAhoTeuyXm9mJiU7q7mPdvcTdS4qLi5O+oFx3wgkh0Q4fHioe7bNPWEJWH7FY6NkPGJCaGEUkP+y5J5SVQUWF9vDOJckk7llAkZl1jTvWE5iRxM86YNVf7w186u4vuPsGd/8UmARocVItLVvC3XfDlClhSOuoo8JktmXLtu39ysvhkEPC/tsiIvFOPjlUVXvkEbjttqijkWRsMXG7+yogBow2s+ZmdjAwABhXu62ZDTCznSzYH/g1MKH65feArtVLwszMdgf6E+6XSwKHHQbvvw9XXgl/+1v4dDxhwhZ/bCP//neYra5hchGpy8iRcPrpcMUVMHly1NHIliS7HGwE0BRYRLhPPdzdZ5jZoWZWGdfuTOAzwjD6w8BN7v4QgLt/DpwL/AlYAUwByoH7U3Eh+appU/jjH+Gdd2DnneGUU8IeuwsXJvfz48eH54ED0xejiOQ2M3jwwVDl8cwzw45ikr3Mc+CmRklJiVdUVEQdRuS++w5uuSVsXNKiBdx5JwweHH7p6nLAAaG06vTpmYtTRHLTnDmw335QXBw6Cy1rz26SjDGzd929JNFrKnmaQxo1gquvDsPne+wRCimceCLMm5e4/Zdfwj//qWFyEUnOj34UdjP897/DdsTawzs7KXHnoD32gDffhD/9Cd54I2xa8te/bvpL9vTT4VmJW0SS1bcv3HUXPPts2N1Qso8Sd45q0AAuuigsHevTBy64AA4/HD79NCzv6NQJfv3r0EvXXQYR2RojRoSVLGPGwJNPRh2N1KZ73HnAHR5+OOw+tmJFSOrxO/80axY2FigtjS5GEckt69aFaov/+7/w1lvQq1fUERUW3ePOc2YwdGjYtKRx402361u9Oiz3EBFJVpMmoQbETjuF1SwFUMAyZyhx55FddoG1axO/VtcENhGRuuyyS5grs3BhWOetPbyzgxJ3nunQYeuOi4hsTkkJ3HdfmAh7ySVRRyOgxJ13xowJ97TjNWsWjouIbIvBg+G3vw2rV8aOjToaUeLOM6Wl4RerY8dw77tjR01ME5H6u/FGOPZYuPBCmFrQmzFHT7PKRUQkKd9+G6oxLl8elpm2bx91RPlLs8pFRKTeavbwXrMmzDRfvTrqiAqTEreIiCStR49Q5Om99+CXv9Qe3jUFrxo0CM9lZek/pxK3iIhslZNOgj/8AR59NGx8VKjKymDYMJg7N3yAmTs3fJ/u5K3ELSIiW+2qq+CnP4Urr4Tnnos6msxbvjzMtK99uyATBa+K0vv2IiKSj2r28J41CwYNCtuAdu8edVSp9d13MHt22ANi1qyNnxcurPvn0l3wSolbRES2SfPmobLafvvBgAEhee+wQ9RRbR13WLAgJOPaCXr2bKiq+qFtmzbhw8mJJ0K3bnDbbYlLwaa74JUSt4iIbLNOneCpp+Coo0K9iAkToGHDqKPa1MqVYZ/x2sl51qzwWo3ttoOuXaFnz3AroHv3kKS7dYNWrTZ+z3btwj3t+OHyTBS8UuIWEZF6OfzwsIf3BRfAqFHwX/8VTRzffw9ffLFxcq75+uuvf2hXU5yqWzc4++zwXJOg27cPM8STUVPYauTIMDzeoUNI2ukueKUCLCIiUm/ucP75oVLj44/DGWek7zyLFm16z3nWLPj88403QmnV6oeEHP+8++7QtGl64kuVzRVgUY9bRETqzQz+/GeYMQPOOSckyX333fb3W7UqDG0nStDLl//QrnHjMLTdo0coClOTnLt3h9at639d2UiJW0REUqJx47CHd0lJuOfdrBnMn1/3EHJVVVj7XDs5f/opfPXVxm3btw/JuLR0495zhw7ZeU89nZS4RUQkZdq2hV/9KtzrXro0HJs7F847D6ZMCcPXNQn6s89g/foffnaHHUIy7tt34+Htrl033fWwkCWVuM2sFXA/cAywBLjK3R9N0O56YCSwLu7wj919dvXrDYEbgHOB7YHPgL7uvqwe1yAiIlnkf/5n02Pr1oV9vRs1CveYu3eH/v03TtDFxWHIXTYv2R733cB6oC3QC5hkZu+7+4wEbZ9w98F1vM8NQB/gIGAesBewdutCFhGRbFZXARKzsHSqSGO99bLFSe9m1hw4DRjl7pXuPhWYCAzZmhOZ2U7AJcAv3X2uBx+5uxK3iEgeqasASYcOStqpkMxqtW5AlbvPijv2PqG3nMhJZrbUzGaY2fC44/sA3wOnm9kCM5tlZhfUdVIzG2ZmFWZWsThRaRoREclKY8Zsek86E4VJCkUyibsFsLzWseWEe9S1PQn0AIqBXwLXmtnPq19rB+xA+CDwI+B04HozOzrRSd19rLuXuHtJcXFxEmGKiEg2KC0N67k7dvyh2MnYsekvTFIokhm0qARa1jrWElhZu6G7fxz37TQzu4uQoB8D1lQfH+3ua4APzOxx4ATgpa0NXEREsldpqRJ1uiTT454FFJlZ17hjPYFEE9Nqc6BmjuAHccdERERkG2wxcbv7KiAGjDaz5mZ2MDAAGFe7rZkNMLOdLNgf+DUwofp9PgfeBEaaWRMz6wGcATybussRERHJb0mWUmcE0BRYRBj2Hu7uM8zsUDOrjGt3JmFt9krgYeAmd38o7vWfAx2B/wCTCDPVX6nnNYiIiBSMpCbmu/tS4JQEx98kTF6r+f7ntdvUaj8fOG4rYxQREZFqyfa4RUREJAvkxLaeZrYYmJvCt2xDKN2a73Sd+UXXmV90nfkl1dfZ0d0TroXOicSdamZWUdc+p/lE15lfdJ35RdeZXzJ5nRoqFxERySFK3CIiIjmkUBP32KgDyBBdZ37RdeYXXWd+ydh1FuQ9bhERkVxVqD1uERGRnKTELSIikkOUuEVERHJIwSTu6o1N7jezuWa20szeM7Pjo44rHczsETP7xsxWmNksM/tF1DGlk5l1NbO1ZvZI1LGkg5m9Xn19ldWPT6OOKV3M7Ewzm2lmq8zsczM7NOqYUinu/2HNo8rM/hx1XOlgZp3M7Dkz+9bMFpjZX8wsqTLbucTMepjZq2a23Mw+M7OB6T5nwSRuQl32L4HDgR2AUcCTZtYpwpjS5Y9AJ3dvCZwM/MHMfhJxTOl0NzA96iDS7EJ3b1H96B51MOlgZkcDNwHnANsDhwGzIw0qxeL+H7YA2gJrgL9HHFa6/JWwMdX/A3oR/vaOiDSiFKv+IDKBsMtlK2AY8IiZdUvneQsmcbv7Kne/3t2/cPcN7v4sMAfIu4Tm7jPcfV3Nt9WP3SMMKW3M7ExgGaBd5nLfDcBod/9H9e/o/OqNifLV6YTE9mbUgaTJj4An3X2tuy8AJgN7RRxTqu0B7Arc4e5V7v4q8BYwJJ0nLZjEXZuZtQW6ATOijiUdzOyvZrYa+AT4Bngu4pBSzsxaAqOB30QdSwb80cyWmNlbZnZE1MGkmpk1BEqA4urhxq+qh1abRh1bGg0FHvb8XZN7F3CmmTUzs92A4wnJO59YHcf2TudJCzJxm1kjoAx4yN0/iTqedHD3EYThxkOBGLBu8z+Rk34P3O/uX0YdSJpdAXQGdiMUeXjGzPJtBKUt0IjQCz2UMLS6L3BNlEGli5l1IAwdPxR1LGk0hdDDXgF8BVQAT0caUep9Qhg1+Z2ZNTKzYwj/X5ul86QFl7jNrAEwDlgPXBhxOGlVPXQzFWgHDI86nlQys17AUcAdUceSbu7+jruvdPd17v4QYSjuhKjjSrE11c9/dvdv3H0JcDv5d501zgKmuvucqANJh+q/sy8QOg3NCTtn7USYw5A33P074BTgRGABYfTvScIHlbTJuxl+m2NmBtxP+HR/QvV/9EJQRP7d4z4C6ATMC/9baQE0NLM93b13hHFlgpN4iC5nufu3ZvYV4doKwVnAjVEHkUatgPbAX6rn26wzsweBPwCXRxpZirn7B4ReNgBmNo00j6QUWo/7HqAHcJK7r9lS41xkZjtXL6lpYWYNzexY4OfAq1HHlmJjCR9GelU//huYBBwbZVCpZmY7mtmxZradmRWZWSlhtvULUceWBg8CF1X/G94JuIQwWzevmFkfwm2PfJ1NTvWIyRxgePW/2x0J9/Tfjzay1DOzH1f/fjYzs98SZtH/LZ3nLJjEbWYdgV8R/sgviFtHWRpxaKnmhGHxr4BvgVuBS9x9QqRRpZi7r3b3BTUPoBJY6+6Lo44txRoReimLgSXARcAp7p6Pa7l/T1jWNwuYCbwHjIk0ovQYCsTcfWXUgaTZqcBxhH+7nwHfA5dGGlF6DCFMAF4E9AOOjlvVkxbaZERERCSHFEyPW0REJB8ocYuIiOQQJW4REZEcosQtIiKSQ5S4RUREcogSt4iISA5R4hYREckhStwiIiI55P8Di6r/bgxSxlkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 4))\n",
    "plt.plot(range(2, 10), silhouette_scores, 'bo-')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Kmeans存在的问题"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X1, y1 = make_blobs(n_samples=1000, centers=((4, -4), (0, 0)), random_state=42)\n",
    "X1 = X1.dot(np.array([[0.374, 0.95], [0.732, 0.598]]))\n",
    "X2, y2 = make_blobs(n_samples=250, centers=1, random_state=42)\n",
    "X2 = X2 + [6, -8]\n",
    "X = np.r_[X1, X2]\n",
    "y = np.r_[y1, y2]\n",
    "\n",
    "plot_data(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n",
       "       n_clusters=3, n_init=10, n_jobs=None, precompute_distances='auto',\n",
       "       random_state=42, tol=0.0001, verbose=0)"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans_good = KMeans(n_clusters=3,\n",
    "                     init=np.array([[-1.5, 2.5], [0.5, 0], [4, 0]]),\n",
    "                     n_init=1,\n",
    "                     random_state=42)\n",
    "kmeans_bad = KMeans(n_clusters=3, random_state=42)\n",
    "kmeans_good.fit(X)\n",
    "kmeans_bad.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Bad - inertia = 2179.4842787447324')"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 4))\n",
    "plt.subplot(121)\n",
    "plot_decision_boundaries(kmeans_good, X)\n",
    "plt.title('Good - inertia = {}'.format(kmeans_good.inertia_))\n",
    "\n",
    "plt.subplot(122)\n",
    "plot_decision_boundaries(kmeans_bad, X)\n",
    "plt.title('Bad - inertia = {}'.format(kmeans_bad.inertia_))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
